Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916391815217152 |
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| author | Wang, Nana Restrepo, Esteban Dimarogonas, Dimos V. |
| author_facet | Wang, Nana Restrepo, Esteban Dimarogonas, Dimos V. |
| contents | We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology estimation into a problem of estimating the time-varying weights of a complete graph, utilizing an edge-agreement framework. We introduce two auxiliary networks: one that satisfies the persistent excitation condition to facilitate topology estimation, while the other, a uniform-$δ$ persistently exciting network, ensures the boundedness of both weight estimation and synchronization errors, assuming bounded time-varying weights and their derivatives. A relevant numerical example shows the efficiency of our methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08404 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology Wang, Nana Restrepo, Esteban Dimarogonas, Dimos V. Multiagent Systems We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology estimation into a problem of estimating the time-varying weights of a complete graph, utilizing an edge-agreement framework. We introduce two auxiliary networks: one that satisfies the persistent excitation condition to facilitate topology estimation, while the other, a uniform-$δ$ persistently exciting network, ensures the boundedness of both weight estimation and synchronization errors, assuming bounded time-varying weights and their derivatives. A relevant numerical example shows the efficiency of our methods. |
| title | Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology |
| topic | Multiagent Systems |
| url | https://arxiv.org/abs/2409.08404 |